Exam 6: Bonds

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Calculate the duration (measured in six-monthly periods)of a bond with a price of $100,two years to maturity,and yield and coupon rates of 5% and 10% p.a.respectively.

(Multiple Choice)
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Suppose a two-year 9% p.a.bond with a face value of $100 000 has a yield of 8% p.a.Assume the yield on this bond decreases instantaneously from 8% p.a.to 7.75% p.a.What would be the expected increase in the bond price?

(Multiple Choice)
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You have purchased a guaranteed investment contract (GIC)from an insurance firm that promises to pay you a 5% compound rate of return per year for 6 years.If you pay $10,000 for the GIC today and receive no interest along the way,you will get __________ in 6 years (to the nearest dollar).

(Multiple Choice)
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Suppose a two-year 9% p.a.bond with a face value of $100 000 has a yield of 8% p.a.What is the Macaulay duration measure of this bond?

(Multiple Choice)
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The duration of a 5-year zero-coupon bond is ____ years.

(Multiple Choice)
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Calculate the price of a coupon-paying bond maturing in two years,where the bond has a face value of $100 000,yield of 7.5% p.a.and coupon rate of 7.5% p.a.Assume interest rates are paid half yearly and the last coupon payment has just been made.

(Multiple Choice)
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The common type of bonds involves varying coupon payments over time.

(True/False)
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Bond A has a price of $94 500 and a duration of 1.96.Bond B has a price of $44 327 and has a duration of 3.78.Calculate the duration of a portfolio comprised of two of Bond A and three of Bond B.

(Multiple Choice)
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What is the price of a $100 000 bond with 24 months to maturity and 12% p.a.coupon? Assume that the four consecutive semi-annual yields are 4% p.a. ,5% p.a. ,7% p.a.and 8% p.a.respectively.

(Multiple Choice)
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______________ is an important characteristic of the relationship between bond prices and yields.

(Multiple Choice)
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Suppose a 5 year 8% p.a.bond with a yield of 6.5% and principal of $100 000 pays coupon payments semi-annually.What is the present value of this bond?

(Multiple Choice)
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The following statement,"investors must forgo some yield when compared with straight bonds because of the lower risk,and the market should price these accordingly",refers to index-linked bonds.

(True/False)
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What is the Fisher-Weil duration for a $100 000 bond with 24 months to maturity and 12% p.a.coupon? Assume that the four consecutive semi-annual yields are 4% p.a. ,5% p.a. ,7% p.a.and 8% p.a.respectively.

(Multiple Choice)
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Duration takes into account the non-linearity in the relationship between bond price and yield.

(True/False)
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When estimating a price change for a bond due to a change in the yield,incorporating convexity does not improve the estimate.

(True/False)
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Call risk refers to the uncertainty associated with future reinvestment rates.

(True/False)
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All other things equal,a bond's duration is _________.

(Multiple Choice)
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For index-linked bonds,which of the following changes in alignment with the CPI?

(Multiple Choice)
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Calculate the price of a coupon-paying bond maturing in 15 years,where the bond has a face value of $100 000,yield of 7% p.a.and coupon rate of 9% p.a.Assume interest rates are paid half yearly.

(Multiple Choice)
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What is the purchase price of a bond bought on 1 March 2005,paying semi-annual coupons of 6.0% p.a.and maturing on 15 June 2007? The coupons are paid on 15 June and 15 December each year,and each compounding period has 181 days.The bond has a face value of $100 000 and a yield of 7% p.a.

(Multiple Choice)
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